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Finding the Fourth Proportional to 37,661.66, 56,423.64 and 17,634.41

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Solution

The fourth proportional to 37,661.66, 56,423.64 and 17,634.41 is: 26,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.66 : 56,423.64 = 17,634.41 : x
  2. Step 2: Convert to fraction form
    37,661.66/56,423.64 = 17,634.41/x
  3. Step 3: Cross multiply
    37,661.66x = 56,423.64 × 17,634.41
  4. Step 4: Simplify right side
    37,661.66x = 994,997,601.45
  5. Step 5: Solve for x
    x = 994,997,601.45/37,661.66
  6. Step 6: Final answer
    x = 26,419.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.